Question 1: What is elastic energy, and how is it stored in an object?

Answer: Elastic energy is the potential energy stored in an object when it is stretched or compressed, due to its elastic deformation.

Question 2: Name two materials that commonly exhibit elastic properties when deformed.

Answer: Rubber and steel.

Question 1: A steel spring is compressed by 0.02 meters and has a spring constant of 1500 N/m. Calculate the elastic potential energy stored in the spring. Use the formula: PE = (1/2) k x².

Answer: 0.3 Joules

Question 2: A rubber band is stretched by 0.05 meters and has an elastic potential energy of 0.125 Joules. What is the effective spring constant of the rubber band? (Use PE = (1/2) k x²)

Answer: 50 N/m

Question 1: Describe a simple experiment to demonstrate elastic energy storage in a rubber band. Include the key variables involved and safety precautions.

Answer: One experiment involves stretching a rubber band by a known distance and releasing it to observe its motion. Variables include the extension of the rubber band (independent variable), the speed or distance traveled (dependent variable), and the force applied. Precautions include avoiding overstretching to prevent snapping and wearing eye protection if necessary.

Question 2: Explain how the elastic potential energy is converted during the release of a stretched elastic object, such as a stretched spring or rubber band.

Answer: The elastic potential energy stored when stretched or compressed is converted into kinetic energy as the object returns to its original shape.

Question 1: A spring with a spring constant of 2000 N/m is compressed by 0.01 meters. The elastic potential energy stored is released to propel a small object. If the object travels 0.5 meters after release, what is the initial elastic potential energy stored in the spring?

Answer: 0.1 Joules

Question 2: If a rubber band stretches by 0.03 meters and stores 0.045 Joules of elastic energy, what is the approximate spring constant of the rubber band?

Answer: 50 N/m

Question 1: Describe how elastic energy is utilized in the design of a bow and arrow. Include the role of elastic potential energy during shooting.

Answer: In a bow and arrow, drawing the bow stretches the elastic limbs, storing elastic potential energy. When released, this energy converts into kinetic energy, propelling the arrow forward at high speed. The efficiency of transfer depends on the material and design of the bow.

Question 2: Explain how elastic energy storage is used in sports equipment, such as in a trampoline or a tennis racket.

Answer: In trampolines, the mat stretches and stores elastic energy during a jump, which helps propel the jumper upward. In tennis rackets, strings stretch during a hit, storing elastic energy that is transferred to the ball, increasing its speed.